The finish is "Blued" Jack. I have carried this exact model as a backup gun for 2 plus years with constant holstering/upholstering and it has an still is holding up very well finish wise.

its not a black parkerized finish it is a Black Oxide (blued) gun The Taurus Model 605 is built to the Taurus Zero Tolerance standard in design, fabrication, fit and performance. Meaning there is simply no tolerance for parts that do not perform as if someone’s life depends on them. Using the powerful .357 Magnum cartridge, this quick-draw revolver has plenty of muscle to back it up. Features include fixed sights, crisp single-double action trigger and a transfer bar for added safety.
Product Specifications
Manufacturer: Taurus
Model: 605B2
Finish: Black Oxide
Caliber: .357 MAG
Grips: Rubber
UPC: 7-25327-20301-8
Capacity: 5
Weight: 24 oz
Rate of Twist: 1:16.5 in.
Barrel Length: 2 in.
Frame: Small
Action: DA/SA
Front Sight: Fixed
Length: 6.5 in.
Grooves: 6
Safety: Transfer Bar
Trigger Type: Smooth
Order #: 2-605021
Rear Sight: Fixed
Grooves Turn: Right

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Hi Jack, Yes it is. The Small steel frame with Black Rubber grip has a Blued finish.